Question

Evaluate each expression. $$\frac{3}{20}-\frac{2}{15}$$

   Evaluate each expression.
$$\frac{3}{20}-\frac{2}{15}$$

College Algebra

College Algebra

Michael Sullivan 11th Edition

Chapter 0, Problem 81

Instant Answer

Solved by Expert Victoria Karaluz

05/18/2020

Step 1

The least common multiple of 20 and 15 is 60. So, we can rewrite the fractions as: $$\frac{3}{20} = \frac{3 \times 3}{20 \times 3} = \frac{9}{60}$$ $$\frac{2}{15} = \frac{2 \times 4}{15 \times 4} = \frac{8}{60}$$ Show more…

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Evaluate each expression. $$\frac{3}{20}-\frac{2}{15}$$

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Key Concepts

Simplification

After carrying out operations like subtraction or addition on fractions, the result is often simplified. Simplification involves reducing a fraction to its lowest terms by dividing both the numerator and denominator by their greatest common divisor (GCD).

Equivalent Fractions

Equivalent fractions are fractions that represent the same value, even though their numerators and denominators may be different. They are found by multiplying or dividing both the numerator and denominator by the same nonzero number.

Common Denominator

When performing addition or subtraction with fractions, a common denominator is needed so that the fractions represent parts of the same whole. This involves converting each fraction to an equivalent fraction that shares a common denominator.

Fractions

Fractions represent a part of a whole and are expressed as a numerator over a denominator. They are a fundamental concept in arithmetic, allowing operations with parts of a quantity.

Least Common Multiple (LCM)

The least common multiple is used to find the smallest common denominator when dealing with different denominators. It is the smallest number that each of the denominators can divide into without leaving a remainder.

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